(1) Università Cattolica, Largo A. Gemelli 1, I-20123 Milano, Italy;(2) Math. Dept, Universität Siegen, Hoelderlinstr. 3, D-5900 Siegen, Germany;(3) Dip. Maternatica, Università di Torino, Via Carlo Alberto 10, I-10123 Torino, Italy
Abstract:
W. Blaschke established a Bonnesen-style inequality for the relative inradius and circumradius of a planar convex bodyK with respect to another. We sharpen this inequality by considering the radii of the minimal convex annulus ofK.